Draw graphs of each of these functions.

QUESTION:

Draw graphs of each of these functions.

a) \(f(x)=\left\lfloor x+\frac{1}{2}\right\rfloor\)

b) \(f(x)=\lfloor 2 x+1\rfloor\)

c) \(f(x)=\lceil x / 3\rceil\)

d) \(f(x)=\lceil 1 / x\rceil\)

e) \(f(x)=\lceil x-2\rceil+\lfloor x+2\rfloor\)

f) \(f(x)=\lfloor 2 x\rfloor\lceil x / 2\rceil\)

g) \(f(x)=\left\lceil\left\lfloor x-\frac{1}{2}\right\rfloor+\frac{1}{2}\right\rceil\)

Equation Transcription:

⌊⌋                        

⌊⌋

⌈⌉                

⌈⌉

⌈⌉ ⌊⌋

⌊⌋⌈⌉

⌈⌊⌋⌉

Text Transcription:

f(x)=l floor x+½ r floor

f(x)=l floor 2x+1r floor

f(x)=l ceil x/3 r ceil

f(x)=l ceil 1/x r ceil

f(x)=l ceil x-2 r ceil+l floor x+2 r floor

f(x)=l floor 2x r floor l ceil x/2r ceil

f(x)=l ceil l floor x-½ r floor + ½ r ceil